if the area of an equilateral triangle iis 36root3 cn square find its height
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Area of equilateral triangle = √3/4 x a²
36√3 = √3/4 x a²
a² = 36√3 x 4/√3
a² = 144
a = √144 = 12 cm
Area of triangle = 1/2 x base x height
36√3 = 1/2 x 12 x h
h = 36√3 x 2 / 12 = 6√3cm
∴ the height of the equilateral triangle is 6√3 cm
36√3 = √3/4 x a²
a² = 36√3 x 4/√3
a² = 144
a = √144 = 12 cm
Area of triangle = 1/2 x base x height
36√3 = 1/2 x 12 x h
h = 36√3 x 2 / 12 = 6√3cm
∴ the height of the equilateral triangle is 6√3 cm
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